A208312 Number of n X 6 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors.

32, 486, 6222, 75744, 906120, 10771434, 127750122, 1513877040, 17934682392, 212448242124, 2516504538384, 29808303670134, 353081615286042, 4182272924282172, 49539251361171168, 586795048978163022

Offset

1,1

Comments

Column 6 of A208314.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 33*a(n-1) -465*a(n-2) +3933*a(n-3) -23001*a(n-4) +99921*a(n-5) -334593*a(n-6) +877689*a(n-7) -1807461*a(n-8) +2898261*a(n-9) -3560841*a(n-10) +3279285*a(n-11) -2205225*a(n-12) +1050489*a(n-13) -338985*a(n-14) +67797*a(n-15) -6561*a(n-16).

Example

Some solutions for n=4
..0..1..1..1..1..0....0..0..1..0..0..1....0..1..1..0..1..0....0..0..0..0..0..1
..1..0..1..0..0..1....1..0..1..0..1..0....1..0..0..1..0..1....1..0..1..0..1..0
..1..1..0..1..0..1....1..1..0..1..0..1....0..1..1..0..1..0....1..1..0..1..0..1
..1..0..1..0..1..0....1..0..1..0..1..0....0..1..0..1..0..1....0..1..0..0..1..0

Crossrefs

Cf. A208314.

Sequence in context: A306411 A085539 A091364 * A138412 A220735 A010948

Adjacent sequences: A208309 A208310 A208311 * A208313 A208314 A208315

Keyword

nonn

Author

R. H. Hardin Feb 25 2012

Status

approved